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Furkat [3]
3 years ago
14

A diving board is 12.4 feet above the ground. The bottom of the pool is 16.9 feet below the ground. Write and solve an equation

that gives the distance from the diving board to the bottom of the pool.
Mathematics
1 answer:
Flauer [41]3 years ago
4 0

Answer: 29.3 feet

Step-by-step explanation:

Given: Elevation of the board from the ground =  12.4 feet

Elevation of the ground from the bottom of the pool = 16.9 feet

Distance from the diving board to the bottom of the pool= (Elevation of the board from the ground) + (Elevation of the ground from the bottom of the pool)

Let d= Distance from the diving board to the bottom of the pool

i.e. d= (12.4+16.9) feet

i.e. d=29.3 feet

Hence, the distance from the diving board to the bottom of the pool=29.3 feet

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Write an equation of the line in slope intercept form.
Lesechka [4]

Answer:

D. Y= -5/3x

Step-by-step explanation:

The starting point of the equation is (0,0), therefore no value is being added to it, to find the slope you just have to do rise over run, since the line is going down from left to right, the slope has to be negative. Hope this helped

8 0
2 years ago
How do you write 416.7 in scientific notation? ___× 10^____
Liono4ka [1.6K]

Answer:

4.167(10²)

Step-by-step explanation:

Step 1: Put number into proper decimal form

416.7 = 4.167

Step 2: Figure out exponent

Since we are moving the decimal places 2 places to the right, our exponent is 2

5 0
3 years ago
Read 2 more answers
12.21 is 3.7 times the number p.
ASHA 777 [7]
P3.7 = 12.21 (p × 3.7 = 12.21)

p÷3.7 = 12.21÷3.7 (p÷3.7 cancels out p×3.7 and leaves you left with the equation p = 12.21÷3.7)

p=3.3 
4 0
3 years ago
Find the annual rate of interest. Principal = 4600 rupees Period = 5 years Total amount = 6440 rupees Annual rate of interest =
Semmy [17]

Answer:

The rate of interest for compounded annually is 6.96 %  .

Step-by-step explanation:

Given as :

The principal amount = Rs 4600

The time period = 5 years

The amount after 5 years = Rs 6440

Let The rate of interest = R %

<u>From compounded method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm Time}

or, Rs 6440 = Rs 4600 × (1+\dfrac{\textrm R}{100})^{\textrm 5}

Or, \frac{6440}{4600} =  (1+\dfrac{\textrm R}{100})^{\textrm 5}

or, 1.4 =  (1+\dfrac{\textrm R}{100})^{\textrm 5}

Or, (1.4)^{\frac{1}{5}} = 1 + \dfrac{R}{100}

or, 1.0696 =  1 + \dfrac{R}{100}

or, \dfrac{R}{100} = 1.0696 - 1

Or, \dfrac{R}{100} = 0.0696

∴ R = 0.0696 × 100

I.e R = 6.96

Hence The rate of interest for compounded annually is 6.96 %  .  Answer

5 0
3 years ago
What is the slope of the line through A(2, 6) and B(8, -1)
zimovet [89]
A. -6/7

Because:
(2,6) (8,-1)

(x1,y1) (x2,y2)

x1 = 2. Y1=6. X2=8. Y2= -1.

Equation for slope is m = y2-y1
x2-x1
-1-6 = -7
8-2=6
5 0
3 years ago
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